CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Chapter 1, Problem 9P
The human eye has a biological control system that varies the pupil diameter to mamtain constant light intensity to the retina. As the light intensity increases, the optical nerve sends a signal to the brain, which commands internal eye muscles to decrease the pupil's eye diameter. When the light intensity decreases, the pupil diameter increases.
- Draw a functional block diagram of the light-pupil system indicating the input, output, and intermediate signals; the sensor, the controller; and the actuator. (Section 1.4: Introduction to a Case Study]
- Under normal conditions the incident light will be larger than the pupil. If the incident light is smaller than the diameter of the pupil, the feedback path is broken (Beehhoefer. 2005). Modify your block diagram from Part a. to show where the loop is broken. What will happen if the narrow beam of light varies in intensity, such as in a sinusoidal fashion?
- It has been found (Bechhuefer. 2005) that it takes the pupil about 300 milliseconds to react to achongc in the incident light. If light shines off center to the retina, describe the response of the pupil with delay present and then without delay present
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14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Auto Controls
A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
NO COPIED SOLUTIONS
Chapter 1 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
Ch. 1 - Prob. 1RQCh. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - State one condition under which the error signal...Ch. 1 - Prob. 6RQCh. 1 - Name two advantages of having a computer in the...Ch. 1 - Name the three major design criteria for control...Ch. 1 - Prob. 9RQCh. 1 - Physically, what happens to a system that is...
Ch. 1 - Instability is attributable to what pan of the...Ch. 1 - Describe a typical control system analy sis task.Ch. 1 - Describe a typical control system design task.Ch. 1 - Prob. 14RQCh. 1 - Name three approaches to the mathematical modeling...Ch. 1 - Briefly describe each of your answers to Question...Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - An aircraft's attitude varies in roll, pitch, and...Ch. 1 - We can build a control system that will...Ch. 1 - Prob. 5PCh. 1 - During a medical operation an anesthesiologist...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - The human eye has a biological control system that...Ch. 1 - A Segway ®5 Personal Transporter (PT) (Figure Pl...Ch. 1 - In humans, hormone levels, alertness, and core...Ch. 1 - Tactile feedback is an important component in the...Ch. 1 - Prob. 13PCh. 1 - Moored floating platforms are subject to external...Ch. 1 - In the Case Study of Section 1.4. an antenna...Ch. 1 - Figure Pl.5 shows the topology of a photo-voltaic...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Contol of HIV/AIDS. As of 2012. the number of...Ch. 1 - Prob. 23PCh. 1 - Parabolic trough collector. A set of parabolic...
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- Auto Controls A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain i. for K = 1 , derive the exact magnitude and phase expressions of G(jw). ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities. iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin) iv. what happens to the gain margin and Phase margin when you increase the value of K?you You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus NO COPIED SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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